I just got it to work by installing CF7 Dynamic Text Extension plugin and using Pods magic tags!
http://wordpress.org/plugins/contact-form-7-dynamic-text-extension/
This plugin allows to add dynamic hidden fields.
I installed the plugin and added this to the form:
[dynamichidden dynamichidden-441 "{@name}"]
And then I added this to the Mail fields:
[dynamichidden-441]
Wonderful!
I would still like to know if this can be done without the extra plugin. It seems like I should be able to write a basic function. Perhaps something like this: http://www.leewillis.co.uk/dynamic-select-list-contact-form-7/